Set-Valued Analysis"An elegantly written, introductory overview of the field, with a near perfect choice of what to include and what not, enlivened in places by historical tidbits and made eminently readable throughout by crisp language. It has succeeded in doing the near-impossible—it has made a subject which is generally inhospitable to nonspecialists because of its ‘family jargon’ appear nonintimidating even to a beginning graduate student." —The Journal of the Indian Institute of Science "The book under review gives a comprehensive treatment of basically everything in mathematics that can be named multivalued/set-valued analysis. It includes...results with many historical comments giving the reader a sound perspective to look at the subject...The book is highly recommended for mathematicians and graduate students who will find here a very comprehensive treatment of set-valued analysis." —Mathematical Reviews "I recommend this book as one to dig into with considerable pleasure when one already knows the subject...‘Set-Valued Analysis’ goes a long way toward providing a much needed basic resource on the subject." —Bulletin of the American Mathematical Society "This book provides a thorough introduction to multivalued or set-valued analysis...Examples in many branches of mathematics, given in the introduction, prevail [upon] the reader the indispensability [of dealing] with sequences of sets and set-valued maps...The style is lively and vigorous, the relevant historical comments and suggestive overviews increase the interest for this work...Graduate students and mathematicians of every persuasion will welcome this unparalleled guide to set-valued analysis." —Zentralblatt Math |
From inside the book
Results 1-5 of 77
... properties may be unfortunately lost; others are useless artifacts, making life more difficult rather than more simple. These points of view, which were widely disseminated all over the world X after World War II, misled many of us into.
... Properties of Contingent Cones . . 125 4.1.3 Adjacent and Clarke Tangent Cones 126 4.1.4 Sleek Subsets 130 4.1.5 Limits of Contingent Cones; Finite Dimensional Case 130 4.1.6 Limits of Contingent Cones; Infinite Dimensional Case 132 4.2 ...
... Properties 189 5.2.2 Limits of Differential Quotients 191 5.2.3 Derivatives of monotone operators 194 5.3 Chain Rules 196 5.4 Inverse Set- Valued Map Theorem 203 5.4.1 Stability and Approximation of Inclusions . . . 203 5.4.2 ...
... Properties 274 7.3.2 Convergence of Infima and Minimizers 281 7.3.3 Variational Systems 284 7.4 Epilimits of Sums and Composition Products 286 7.5 Conjugate Functions of Epilimits 289 7.6 Graphical Convergence of Gradients 294 7.6.1 ...
... Properties of Support Functions 66 4.1 Properties of Contingent Cones 124 4.2 Properties of Adjacent Tangent Cones 129 4.3 Properties of Tangent Cones to Convex Sets 141 4.4 Properties of Contingent Cones to Derivable Sets in Finite ...